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Finding the Fourth Proportional to 164,174.64, 246,275.93 and 51,824.80

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Solution

The fourth proportional to 164,174.64, 246,275.93 and 51,824.80 is: 77,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,174.64 : 246,275.93 = 51,824.80 : x
  2. Step 2: Convert to fraction form
    164,174.64/246,275.93 = 51,824.80/x
  3. Step 3: Cross multiply
    164,174.64x = 246,275.93 × 51,824.80
  4. Step 4: Simplify right side
    164,174.64x = 12,763,200,817.06
  5. Step 5: Solve for x
    x = 12,763,200,817.06/164,174.64
  6. Step 6: Final answer
    x = 77,741.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.